Question Detail

MTH 102 MTH 102 Past Questions Objective Question
Take CBT

Question

Evaluate ∫ (Cos(lnx) / x) dx
Options
A sec(lnx) + C
B tan(lnx) + C
C cot(lnx) + C
D sin(lnx) + C
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

To evaluate this integral, we use substitution. Let u = lnx. Then, the differential du = (1/x) dx. Substituting these into the integral, we get:∫ Cos(u) duThe integral of Cos(u) with respect to u is sin(u) + C. Finally, substitute back u = lnx to get the result:sin(lnx) + C

Hint

Look for a substitution that simplifies the integrand. Consider the derivative of lnx.

Question Info

Course: MTH 102
Topic: MTH 102 Past Questions
Type: Objective
Difficulty: Not specified
Question 577 of 930
Previous Course Details Next